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      Guaranteed and Sharp a Posteriori Error Estimates in Isogeometric Analysis

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          Abstract

          We present functional-type a posteriori error estimates in isogeometric analysis. These estimates, derived on functional grounds, provide guaranteed and sharp upper bounds of the exact error in the energy norm. {Moreover, since these estimates do not contain any unknown/generic constants, they are fully computable, and thus provide quantitative information on the error.} By exploiting the properties of non-uniform rational B-splines, we present efficient computation of these error estimates. The numerical realization and the quality of the computed error distribution are addressed. The potential and the limitations of the proposed approach are illustrated using several computational examples.

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          A Convergent Adaptive Algorithm for Poisson’s Equation

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            Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows

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              The NURBS Book

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                Author and article information

                Journal
                2013-04-29
                2014-09-20
                Article
                1304.7712
                1cf2610e-1cdc-4c48-b009-a927c51e790c

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                65N15, 65N30
                RICAM report 2013-06
                28 pages, 18 figures, 18 tables, 1 algorithm
                math.NA

                Numerical & Computational mathematics
                Numerical & Computational mathematics

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